Online GCD Calculator is useful to find the GCD of 705, 849, 144, 966 quickly. Get the easiest ways to solve the greatest common divisor of 705, 849, 144, 966 i.e 3 in different methods as follows.
Given Input numbers are 705, 849, 144, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
GCD of numbers is the greatest common divisor
So, the GCD (705, 849, 144, 966) = 3.
Given numbers are 705, 849, 144, 966
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 849 are 3 x 283
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 31
Therefore, GCD of 705, 849, 144, 966 is 3.
Given numbers are 705, 849, 144, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 849) = 199515
GCD(705, 849) = ( 705 x 849 ) / 199515
= 705 / 849
= 705
Step2:
LCM(3, 144) = 144
GCD(3, 144) = ( 3 x 144 ) / 144
= 3 / 144
= 3
Step3:
LCM(3, 966) = 966
GCD(3, 966) = ( 3 x 966 ) / 966
= 3 / 966
= 3
So, Greatest Common Divisor of 705, 849, 144, 966 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 849, 144, 966
The greatest common divisor of numbers 705, 849, 144, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 849, 144, 966 is 3.
1. What is the GCD of 705, 849, 144, 966?
GCD of given numbers 705, 849, 144, 966 is 3
2. How to calculate the greatest common divisor of 705, 849, 144, 966?
We can find the highest common divisor of 705, 849, 144, 966 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 705, 849, 144, 966 i.e 3.
3. How can I use the GCD of 705, 849, 144, 966Calculator?
Out the numbers 705, 849, 144, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.